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andrezito [222]

4 years ago

7

Solve the equation for x. x + 3 /6 = x - 6/ 3 A) 9 B) 12 C) 15 D) 18

1 answer:

Strike441 [17]4 years ago

7 0

Answer:

a

Step-by-step explanation:

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Simplify 4( x - 6) ^2 / ( x - 6)

Leno4ka [110]

Answer:

4x - 24

Step-by-step explanation:

$\frac{4(x - 6 {)}^{2} }{(x - 6)}$

$4(x - 6) = 4x - 4 \times 6 = 4x - 24$

$4x - 24$

5 0

3 years ago

Read 2 more answers

How to solve this :') please help

blsea [12.9K]

Answer:

3/2

Step-by-step explanation:

sin(3π/4 - β) = sin(3π/4)cosβ - cos(3π/4)sinπ =

$\sin(\frac{3\pi}{4}-\beta)=\sin(\frac{3\pi}{4})\cos\beta-\cos\frac{3\pi}{4}\sin\beta\\=\frac{1}{\sqrt{2}}\cos\beta-(-\frac{1}{\sqrt{2}})\sin\beta\\\\=\frac{1}{\sqrt{2}}(\cos\beta +\sin\beta)\\\\\sin^2(\frac{3\pi}{4}-\beta)=\frac{1}{2}\cos\beta +\sin\beta)^2=\frac{1}{2}(\cos^2\beta +\sin^2\beta+2\sin\beta\cos\beta\\=\frac{1}{2}(1+\sin2\beta)=\frac{1}{2}(1-\frac{1}{5}) = \frac{2}{5}\\$

Use $\cot^2x=\csc^2x-1=\frac{1}{\sin^2x}-1$

so

$\cot^2(\frac{3\pi}{4}-\beta)=\frac{1}{\sin^2(\frac{3\pi}{4}-\beta)}-1 = \frac{1}{\frac{2}{5}}-1=\frac{5}{2}-1=\frac{3}{2}$

7 0

2 years ago

HURRY! I need help on my exam. (10pts!)

Anna [14]

Answer:

oof

Step-by-step explanation:o o o f

7 0

3 years ago

A parabola has an x-intercept of -1, a y-intercept of -3, and a minimum of -4 at x = 1.

torisob [31]

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

$y=a(x-h)^{2}+k$

where

a is a coefficient

(h,k) is the vertex

In this problem we have

(h,k)=(1,-4)

substitute

$y=a(x-1)^{2}-4$

we have

An x-intercept of (-1,0)

substitute and solve for a

$0=a(-1-1)^{2}-4$

$0=4a-4$

$4a=4$

$a=1$

The equation is

$y=(x-1)^{2}-4$

<u><em>Verify the y-intercept</em></u>

For x=0

$y=(0-1)^{2}-4$

$y=-3$

The y-intercept is the point (0,-3) -----> is correct

using a graphing tool

see the attached figure

4 0

3 years ago

On a recent trip to the convenience store, you picked up 4 gallons of milk, 5 bottles of water, and 8 snack-size bags of chi

Otrada [13]

Answer:

One gallon of milk costs $3.64

One bottle of water costs $2.54

One bag of chips costs $0.79

Step-by-step explanation:

m represent gallons of milk

w represents bottles of water

c represents snack-size bags of chips

t = total bill

t = m + w + c ... eq 1

t = $33.60

but

w = 2c

m = 1.90 + w

m = 1.9 + 2c

Slot in the values in eq 1

33.60 = (1.9 + 2c ) + 2c + c

33.60 = 1.9 + 5c

33.60 - 1.9 = 5c

31.7 = 5c

c = $6.34

Slot in the value of c in w and m

w = 2c

w = 2(6.34)

w = $12.68

m = 1.9 + 2c

m = 1.9 + 2(6.34)

m = $14.58

4 gallons of milk cost $14.58

Therefore, one gallon if milk costs = 14.58/4 = $3.64

5 bottles of water cost $12.68

Therefore, one bottle of water costs = 12.68/5 = $2.54

8 bags of chips = $6.34

Therefore, one bag of chips cost = 6.34/8 = $0.79

5 0

3 years ago